What is ((a+b)^3)/(18)*2/((a+b)^2) ?

The solution to ((a+b)^3)/(18)*2/((a+b)^2) is (a+b)/9

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simplify ((a+b)^3)/(18)*2/((a+b)^2)

simplify

\frac{( a + b ) ^{3}}{18} \cdot \frac{2}{( a + b ) ^{2}}

\frac{a + b}{9}

Solution steps

\frac{( a + b ) ^{3}}{18} \cdot \frac{2}{( a + b ) ^{2}}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{( a + b ) ^{3} \cdot 2}{18 ( a + b ) ^{2}}

Factor the number:

18 = 2 \cdot 9

= \frac{( a + b ) ^{3} \cdot 2}{2 \cdot 9 ( a + b ) ^{2}}

Cancel the common factor:

2

= \frac{( a + b ) ^{3}}{9 ( a + b ) ^{2}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(a + b)^{3} = (a + b)^{2} (a + b)

= \frac{( a + b ) ^{2} ( a + b )}{9 ( a + b ) ^{2}}

Cancel the common factor:

(a + b)^{2}

= \frac{a + b}{9}

X^{2} - 4 X + 4 = 0

4 (2 t + 3) \geq 2 (11 t + 11)

2 x \leq 6

\frac{2}{5} (2 x - 12) = - 28

\frac{1}{4} - \frac{3}{8}

What is ((a+b)^3)/(18)*2/((a+b)^2) ?
The solution to ((a+b)^3)/(18)*2/((a+b)^2) is (a+b)/9